526263v
In hoc diagrammate sint omnia
descripta et intelligenda, ut in
[Translation: In this diagram let everything be drawn and understood as in the preceding ]
descripta et intelligenda, ut in
[Translation: In this diagram let everything be drawn and understood as in the preceding ]
Dico quod: figura composita
ex conicis quo facta est
per reductionem polygoni:
Minor est, quadrupla superficie
maximi circuli in sphæra,
hoc est; circulo circa diametrum :
vel circa semdiametrum
[Translation: I say that: the figure composed from cones which is made by reduction of polygons
is less than four times the surface of teh greatest circle in the sphere, that is, the circle about the diameter of about the semidiameter .
ex conicis quo facta est
per reductionem polygoni:
Minor est, quadrupla superficie
maximi circuli in sphæra,
hoc est; circulo circa diametrum :
vel circa semdiametrum
[Translation: I say that: the figure composed from cones which is made by reduction of polygons
is less than four times the surface of teh greatest circle in the sphere, that is, the circle about the diameter of about the semidiameter .
Agatur recta:
[Translation: Let there be drawn the line .
[Translation: Let there be drawn the line .
Ergo: […] = figuræ compositæ
ex
[Translation: Therefore = the figures composed from cones.
ex
[Translation: Therefore = the figures composed from cones.
Ergo, verum quod proponebatur
[Translation: Therefore is is demonstrated that what was proposed is ]
[Translation: Therefore is is demonstrated that what was proposed is ]